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Atlas › Integer Profiles › Node 1,256,752

1,256,752

24 × 73 × 229
Abundant Even Composite

1,256,752 factors as 2^4 × 7^3 × 229. Its 40 positive divisors give a proper-divisor sum of 1,595,248, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,852,000
Proper Divisor Sum 1,595,248
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1256747 ← → #1256753

Radix Representation

Decimal 1256752
Binary 100110010110100110000 (21 bits)
Octal 0o4626460
Hexadecimal 0x132D30

Divisor Catalog (40)

1 2 4 7 8 14 16 28 49 56 98 112 196 229 343 392 458 686 784 916 1,372 1,603 1,832 2,744 3,206 3,664 5,488 6,412 11,221 12,824 22,442 25,648 44,884 78,547 89,768 157,094 179,536 314,188 628,376 1,256,752

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,256,752 628,376 314,188 157,094 78,547 235,642 117,821 353,464 176,732 88,366 44,183 132,550 66,275 198,826 99,413 298,240 149,120 74,560 37,280 18,640 9,320 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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